The paper describes an innovative design concept for a LMFBR Core Support Structure. A hanging Core Support Structure is described and analyzed. The design offers inherent safety features, constructibility advantages, and potential cost reductions. The hanging core support structure and its backup system is a unique concept. The design is highly redundant with regard to reactor safety. The hanging core support structure is decoupled from the reactor vessel, so that the reactor vessel's only function is to support and contain the primary sodium coolant. Constructibility, has been enhanced with the bolted multi-flange support system. Stress levels have been shown to be very reasonable for the overall concept.